Finding the Fourth Proportional to 164,689,735,706.56, 245,925,580,319.68 and 134,496,770,357.76
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Solution
The fourth proportional to 164,689,735,706.56, 245,925,580,319.68 and 134,496,770,357.76 is: 200,839,452,194.45
Step by Step Solution
- Step 1: Write the proportion equation
164,689,735,706.56 : 245,925,580,319.68 = 134,496,770,357.76 : x - Step 2: Convert to fraction form
164,689,735,706.56/245,925,580,319.68 = 134,496,770,357.76/x - Step 3: Cross multiply
164,689,735,706.56x = 245,925,580,319.68 × 134,496,770,357.76 - Step 4: Simplify right side
164,689,735,706.56x = 33,076,196,301,354,861,330,432 - Step 5: Solve for x
x = 33,076,196,301,354,861,330,432/164,689,735,706.56 - Step 6: Final answer
x = 200,839,452,194.45
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Why These Related Problems?
These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.